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5 papers

cond-mat.mtrl-sci2026

A Generalized Frank-Bilby Equation for Interfaces in Crystalline Materials

Dongsong Tao, Luchan Zhang, David J. Srolovitz +2

The authors derive a generalized Frank‑Bilby equation that incorporates both dislocation and step components of interfacial defects (disconnections) and demonstrate its use for mod…

cs.LG2024

Energy stable neural network for gradient flow equations

Yue Wu, Tianyu Jin, Chuqi Chen +4

We propose an energy stable network (EStable-Net) for solving gradient flow equations. The EStable-Net enables decreasing of a discrete energy along the neural network, which is co…

math.OC2024

A Convergent ADMM Algorithm for Grain Boundary Energy Minimization

Yue Wu, Luchan Zhang, Yang Xiang

In this paper, we study a constrained minimization problem that arise from materials science to determine the dislocation (line defect) structure of grain boundaries. The problems…

cond-mat.mtrl-sci2024

A unified variational model for grain boundary dynamics incorporating microscopic structure

Luchan Zhang, Xiaoxue Qin, Yang Xiang

Recent experiments, atomistic simulations, and theoretical predictions have identified various new types of grain boundary motions that are controlled by the dynamics of underlying…

eess.SP2024

Large Transformers are Better EEG Learners

Bingxin Wang, Xiaowen Fu, Yuan Lan +3

Pre-trained large transformer models have achieved remarkable performance in the fields of natural language processing and computer vision. However, the limited availability of pub…